Relational Semantics

A relational semantics for an Imperative Programming Language ℒ ℒ \mathcal{L} is an interpretation of the statements of ℒ ℒ \mathcal{L} into a Relations S → S → Ω → 𝑆 𝑆 → Ω S\to S\to\Omega on some set of states S 𝑆 S .